Subjects algebra

Solve Inequality 87Ddd4

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1. **State the problem:** We need to find all possible values of $n$ that satisfy the inequality $$-6n < -12$$. 2. **Recall the rule for inequalities:** When dividing or multiplying both sides of an inequality by a negative number, the inequality sign must be reversed. 3. **Solve the inequality:** Start with $$-6n < -12$$. Divide both sides by $-6$ (note the inequality sign flips): $$\cancel{-6}n \; \cancel{<} \; \cancel{-6} \quad \Rightarrow \quad n > \frac{-12}{-6}$$ Simplify the fraction: $$n > 2$$ 4. **Interpretation:** The solution set includes all values of $n$ greater than 2. **Final answer:** $$n > 2$$